Answer:
1
Step-by-step explanation:
It means that every unit of mini boat requires 2 pounds of wood and 3 ounces of glue.
As such 3 pounds of wood can only be used to build one mini boat and there will be one pound of wood left. With 6 ounces of gold, the builder can build 2 boats (6/3).
However, the wood becomes the limiting factor that determines the number of mini-boats that can be made. Hence with 3 pounds of wood and 6 ounces of glue, the builder can only build a mini-boat.
Answer:
5.0
Step-by-step explanation:
1÷2=2.5
1=2.50×2
=5.0
Answer:
7x^2 -5x + 4
Step-by-step explanation:
5x^2 – 6x+2
- (-2x^2 - x - 2)
We got 5x^2 - (-2x^2) = 5x^2 + 2x^2 = 7x^2
-6x - (-x) = -6x + x = -5x
2 - (-2) = 2+2 = 4
So the equation would be 7x^2 -5x + 4
Hope this help :3
Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
